5605120 has 72 divisors (see below), whose sum is σ = 13980960. Its totient is φ = 2150400.

The previous prime is 5605111. The next prime is 5605147. The reversal of 5605120 is 215065.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37045 + ... + 37195.

It is an arithmetic number, because the mean of its divisors is an integer number (194180).

Almost surely, 2^5605120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6990480).

5605120 is an abundant number, since it is smaller than the sum of its proper divisors (8375840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5605120 is a wasteful number, since it uses less digits than its factorization.

5605120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 5605120 is about 2367.5134635309. The cubic root of 5605120 is about 177.6349037262.

The spelling of 5605120 in words is "five million, six hundred five thousand, one hundred twenty".